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                                       GATE 2012 Syllabus
                            Electronics and Communication Engineering - EC

ENGINEERING MATHEMATICS (15 Marks)

Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.

Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper
integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities,
Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.

Differential equations: First order equation (linear and nonlinear), Higher order linear differential
equations with constant coefficients, Method of variation of parameters, Cauchy’s and Euler’s
equations, Initial and boundary value problems, Partial Differential Equations and variable separable
method.

Complex variables: Analytic functions, Cauchy’s integral theorem and integral formula, Taylor’s and
Laurent’ series, Residue theorem, solution integrals.

Probability and Statistics: Sampling theorems, Conditional probability, Mean, median, mode and
standard deviation, Random variables, Discrete and continuous distributions, Poisson, Normal and
Binomial distribution, Correlation and regression analysis.

Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for
differential equations.

Transform Theory: Fourier transform, Laplace transform, Z-transform.

GENERAL APTITUDE (15 Marks)

Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions,
critical reasoning and verbal deduction.
Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data
interpretation.

ELECTRONICS AND COMMUNICATION ENGINEERING (70 Marks)
Networks: Network graphs: matrices associated with graphs; incidence, fundamental cut set and
fundamental circuit matrices. Solution methods: nodal and mesh analysis. Network theorems:
superposition, Thevenin and Norton’s maximum power transfer, Wye-Delta transformation. Steady
state sinusoidal analysis using phasors. Linear constant coefficient differential equations; time domain
analysis of simple RLC circuits, Solution of network equations using Laplace transform: frequency
domain analysis of RLC circuits. 2-port network parameters: driving point and transfer functions.
State equations for networks.

Signals and Systems: Definitions and properties of Laplace transform, continuous-time and
discrete-time Fourier series, continuous-time and discrete-time Fourier Transform, DFT and FFT, z-
transform. Sampling theorem. Linear Time-Invariant (LTI) Systems: definitions and properties;
causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure,
frequency response, group delay, phase delay. Signal transmission through LTI systems.


                          No. 569, I-Floor, Near Cambridge Public School
                                   BALAJI COLCONY, TIRUPATI
                      Web Site: www.leadacademics.com, Phone: 9392926692
                                                         Offers
      L E A D
          earn     nrich     pply      evelop
                                                          GATE Coaching
                                                          Coaching for Engineering
   INSTITUTE OF ACADEMICS                                   Competitive Exams
             GET TRAINED TO LEAD


Electronic Devices: Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in
silicon: diffusion current, drift current, mobility, and resistivity. Generation and recombination of
carriers. p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-I-
n and avalanche photo diode, Basics of LASERs. Device technology: integrated circuits fabrication
process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub and twin-tub CMOS
process.

Analog Circuits: Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS.
Simple diode circuits, clipping, clamping, rectifier. Biasing and bias stability of transistor and FET
amplifiers. Amplifiers: single-and multi-stage, differential and operational, feedback, and power.
Frequency response of amplifiers. Simple op-amp circuits. Filters. Sinusoidal oscillators; criterion for
oscillation; single-transistor and op-amp configurations. Function generators and wave-shaping
circuits, 555 Timers. Power supplies.

Digital circuits: Boolean algebra, minimization of Boolean functions; logic gates; digital IC families
(DTL, TTL, ECL, MOS, CMOS). Combinatorial circuits: arithmetic circuits, code converters,
multiplexers, decoders, PROMs and PLAs. Sequential circuits: latches and flip-flops, counters and
shift-registers.  Sample    and    hold   circuits,  ADCs,    DACs.     Semiconductor      memories.
Microprocessor(8085): architecture, programming, memory and I/O interfacing.

Control Systems: Basic control system components; block diagrammatic description, reduction of
block diagrams. Open loop and closed loop (feedback) systems and stability analysis of these
systems. Signal flow graphs and their use in determining transfer functions of systems; transient and
steady state analysis of LTI control systems and frequency response. Tools and techniques for LTI
control system analysis: root loci, Routh-Hurwitz criterion, Bode and Nyquist plots. Control system
compensators: elements of lead and lag compensation, elements of Proportional-Integral-Derivative
(PID) control. State variable representation and solution of state equation of LTI control systems.

Communications: Random signals and noise: probability, random variables, probability density
function, autocorrelation, power spectral density. Analog communication systems: amplitude and
angle modulation and demodulation systems, spectral analysis of these operations, superheterodyne
receivers; elements of hardware, realizations of analog communication systems; signal-to-noise ratio
(SNR) calculations for amplitude modulation (AM) and frequency modulation (FM) for low noise
conditions. Fundamentals of information theory and channel capacity theorem. Digital communication
systems: pulse code modulation (PCM), differential pulse code modulation (DPCM), digital modulation
schemes: amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK), matched filter
receivers, bandwidth consideration and probability of error calculations for these schemes. Basics of
TDMA, FDMA and CDMA and GSM.

Electromagnetics: Elements of vector calculus: divergence and curl; Gauss’ and Stokes’ theorems,
Maxwell’s equations: differential and integral forms. Wave equation, Poynting vector. Plane waves:
propagation through various media; reflection and refraction; phase and group velocity; skin depth.
Transmission lines: characteristic impedance; impedance transformation; Smith chart; impedance
matching; S parameters, pulse excitation. Waveguides: modes in rectangular waveguides; boundary
conditions; cut-off frequencies; dispersion relations. Basics of propagation in dielectric waveguide and
optical fibers. Basics of Antennas: Dipole antennas; radiation pattern; antenna gain.




                          No. 569, I-Floor, Near Cambridge Public School
                                   BALAJI COLCONY, TIRUPATI
                      Web Site: www.leadacademics.com, Phone: 9392926692

				
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posted:12/13/2011
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